The Property Manager of a City Government Issues Chairs, Desks

question 88

Essay

The property manager of a city government issues chairs, desks, and other office furniture to city buildings from a centralized distribution center. Like most government agencies, it operates to minimize its costs of operations. In this distribution center, there are two types of standard office chairs, Model A and Model B. Model A is considerably heavier than Model B, and costs $20 per chair to transport to any city building; each model B costs $14 to transport. The distribution center has on hand 400 chairs-200 each of A and B.
The requirements for shipments to each of the city's buildings are as follows:
Building 1 needs at least 100 of A
Building 2 needs at least 150 of B.
Building 3 needs at least 100 chairs, but they can be of either type, mixed.
Building 4 needs 40 chairs, but at least as many B as A.
Formulate this problem as a linear program.

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Definitions:

Rejection Region

The spectrum of results causing the null hypothesis to be dismissed in hypothesis testing.

Confidence Level

The probability, expressed as a percentage, that the range of a confidence interval contains the true parameter value.

Critical Value

A critical value is a threshold in hypothesis testing that defines the boundary or cutoff points for deciding whether to reject the null hypothesis.

Population Mean

The average value of a property in a population, calculated by summing the values of all members of the population and dividing by the total number of members.